Highest Common Factor of 7498, 9348 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 7498, 9348 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7498, 9348 is 2 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 7498, 9348 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 7498, 9348 is 2.
HCF(7498, 9348) = 2
HCF of 7498, 9348 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7498, 9348 is 2.
Highest Common Factor of 7498,9348 is 2
Step 1: Since 9348 > 7498, we apply the division lemma to 9348 and 7498, to get
9348 = 7498 x 1 + 1850
Step 2: Since the reminder 7498 ≠ 0, we apply division lemma to 1850 and 7498, to get
7498 = 1850 x 4 + 98
Step 3: We consider the new divisor 1850 and the new remainder 98, and apply the division lemma to get
1850 = 98 x 18 + 86
We consider the new divisor 98 and the new remainder 86,and apply the division lemma to get
98 = 86 x 1 + 12
We consider the new divisor 86 and the new remainder 12,and apply the division lemma to get
86 = 12 x 7 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7498 and 9348 is 2
Notice that 2 = HCF(12,2) = HCF(86,12) = HCF(98,86) = HCF(1850,98) = HCF(7498,1850) = HCF(9348,7498) .
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Frequently Asked Questions on HCF of 7498, 9348 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 7498, 9348?
Answer: HCF of 7498, 9348 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7498, 9348 using Euclid's Algorithm?
Answer: For arbitrary numbers 7498, 9348 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.